Grin, Alexander; Schneider, Klaus Global algebraic Poincaré-Bendixson annulus for the Rayleigh equation. (English) Zbl 07742369 Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 35, 12 p. (2023). MSC: 34C05 34C07 34C23 PDF BibTeX XML Cite \textit{A. Grin} and \textit{K. Schneider}, Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 35, 12 p. (2023; Zbl 07742369) Full Text: DOI
Yokoyama, Tomoo Dependency of the positive and negative long-time behaviors of flows on surfaces. (English) Zbl 07700862 J. Differ. Equations 368, 376-393 (2023). MSC: 37E35 37B20 37C15 37C75 PDF BibTeX XML Cite \textit{T. Yokoyama}, J. Differ. Equations 368, 376--393 (2023; Zbl 07700862) Full Text: DOI arXiv
Xu, Tianyuan; Chen, Lifeng; Jiang, Jifa On limit measures and their supports for stochastic ordinary differential equations. (English) Zbl 07694672 J. Differ. Equations 365, 72-99 (2023). MSC: 60H10 37B35 60B10 60F10 37A50 37C70 PDF BibTeX XML Cite \textit{T. Xu} et al., J. Differ. Equations 365, 72--99 (2023; Zbl 07694672) Full Text: DOI arXiv
Dohtani, Akitaka; Matsuyama, Jun A business-cycle model connecting heterogeneous micro investment behaviors with macro dynamics. (English) Zbl 1509.34048 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106903, 22 p. (2023). MSC: 34C60 91B24 34C05 34D20 34C23 34D05 PDF BibTeX XML Cite \textit{A. Dohtani} and \textit{J. Matsuyama}, Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106903, 22 p. (2023; Zbl 1509.34048) Full Text: DOI
Marzougui, Habib Limit sets and global dynamic for 2-D divergence-free vector fields. (English) Zbl 07732650 Adv. Pure Appl. Math. 13, No. 3, 1-8 (2022). MSC: 37C75 37C10 37C25 37C27 37E35 PDF BibTeX XML Cite \textit{H. Marzougui}, Adv. Pure Appl. Math. 13, No. 3, 1--8 (2022; Zbl 07732650) Full Text: DOI
Cortes, Christian Camilo; Hernandez, Juan David Population dynamics with protection and harvesting of a species. (English) Zbl 1518.34056 Rev. Colomb. Mat. 56, No. 2, 113-131 (2022). MSC: 34C60 92D25 34A36 34C05 34C23 34D20 34D23 PDF BibTeX XML Cite \textit{C. C. Cortes} and \textit{J. D. Hernandez}, Rev. Colomb. Mat. 56, No. 2, 113--131 (2022; Zbl 1518.34056) Full Text: DOI
Roussarie, Robert Some applications of the Poincaré-Bendixson theorem. (English) Zbl 1480.37041 Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 64, 17 p. (2021). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 37C75 37C25 PDF BibTeX XML Cite \textit{R. Roussarie}, Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 64, 17 p. (2021; Zbl 1480.37041) Full Text: DOI
Zhong, Shihong; Wang, Jinliang; Xia, Juandi; Li, You Spatiotemporal dynamics and pattern formations of an activator-substrate model with double saturation terms. (English) Zbl 1471.35030 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 9, Article ID 2150129, 27 p. (2021). MSC: 35B32 35K51 35K57 37L10 92D25 35B36 PDF BibTeX XML Cite \textit{S. Zhong} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 9, Article ID 2150129, 27 p. (2021; Zbl 1471.35030) Full Text: DOI
Weiss, Eyal; Margaliot, Michael A generalization of linear positive systems with applications to nonlinear systems: invariant sets and the Poincaré-Bendixson property. (English) Zbl 1461.93227 Automatica 123, Article ID 109358, 13 p. (2021). MSC: 93C28 93C05 93B52 93D20 PDF BibTeX XML Cite \textit{E. Weiss} and \textit{M. Margaliot}, Automatica 123, Article ID 109358, 13 p. (2021; Zbl 1461.93227) Full Text: DOI arXiv
Kennedy, Benjamin B. A periodic solution with non-simple oscillation for an equation with state-dependent delay and strictly monotonic negative feedback. (English) Zbl 1448.34133 Discrete Contin. Dyn. Syst., Ser. S 13, No. 1, 47-66 (2020). Reviewer: Ábel Garab (Szeged) MSC: 34K13 34K43 34K05 PDF BibTeX XML Cite \textit{B. B. Kennedy}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 1, 47--66 (2020; Zbl 1448.34133) Full Text: DOI
Liu, Yujuan; Lu, Qiong Hopf bifurcations in 3D competitive system with mixing exponential and rational growth rates. (English) Zbl 1474.37049 Appl. Math. Comput. 378, Article ID 125209, 17 p. (2020). MSC: 37G10 37G15 37C75 70K05 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{Q. Lu}, Appl. Math. Comput. 378, Article ID 125209, 17 p. (2020; Zbl 1474.37049) Full Text: DOI
Dang, Quang A.; Hoang, Manh Tuan Complete global stability of a metapopulation model and its dynamically consistent discrete models. (English) Zbl 1419.37077 Qual. Theory Dyn. Syst. 18, No. 2, 461-475 (2019). MSC: 37N25 37C75 37M05 65L12 39A30 PDF BibTeX XML Cite \textit{Q. A. Dang} and \textit{M. T. Hoang}, Qual. Theory Dyn. Syst. 18, No. 2, 461--475 (2019; Zbl 1419.37077) Full Text: DOI
Kennedy, Benjamin The Poincaré-Bendixson theorem for a class of delay equations with state-dependent delay and monotonic feedback. (English) Zbl 1420.34088 J. Differ. Equations 266, No. 4, 1865-1898 (2019). Reviewer: Zhanyuan Hou (London) MSC: 34K05 34K13 PDF BibTeX XML Cite \textit{B. Kennedy}, J. Differ. Equations 266, No. 4, 1865--1898 (2019; Zbl 1420.34088) Full Text: DOI
Li, Xiaojie; Lv, Yunfei; Pei, Yongzhen Social behavior of group defense in a predator-prey system with delay. (English) Zbl 1418.92116 J. Biol. Syst. 26, No. 3, 399-419 (2018). MSC: 92D25 34D23 34C23 PDF BibTeX XML Cite \textit{X. Li} et al., J. Biol. Syst. 26, No. 3, 399--419 (2018; Zbl 1418.92116) Full Text: DOI
Steinerberger, Stefan Fast escape in incompressible vector fields. (English) Zbl 1395.34018 Monatsh. Math. 186, No. 3, 525-537 (2018). Reviewer: Alexey O. Remizov (Palaiseau) MSC: 34A26 34C05 28A75 49Q15 PDF BibTeX XML Cite \textit{S. Steinerberger}, Monatsh. Math. 186, No. 3, 525--537 (2018; Zbl 1395.34018) Full Text: DOI arXiv
Buzzi, Claudio A.; Carvalho, Tiago; Euzébio, Rodrigo D. On Poincaré-Bendixson theorem and non-trivial minimal sets in planar nonsmooth vector fields. (English) Zbl 1402.34016 Publ. Mat., Barc. 62, No. 1, 113-131 (2018). Reviewer: Petru Jebelean (Timişoara) MSC: 34A36 34C45 34D05 PDF BibTeX XML Cite \textit{C. A. Buzzi} et al., Publ. Mat., Barc. 62, No. 1, 113--131 (2018; Zbl 1402.34016) Full Text: DOI arXiv
Ramazi, Pouria; Jardón-Kojakhmetov, Hildeberto; Cao, Ming Limit sets within curves where trajectories converge to. (English) Zbl 1418.37047 Appl. Math. Lett. 68, 94-100 (2017). MSC: 37C75 37C10 37C20 37C15 34C07 PDF BibTeX XML Cite \textit{P. Ramazi} et al., Appl. Math. Lett. 68, 94--100 (2017; Zbl 1418.37047) Full Text: DOI
Burkin, I. M. Method of “transition into space of derivatives”: 40 years of evolution. (English) Zbl 1338.34004 Differ. Equ. 51, No. 13, 1717-1751 (2015). MSC: 34-02 34C25 93C85 93C80 34C46 34D45 93C35 PDF BibTeX XML Cite \textit{I. M. Burkin}, Differ. Equ. 51, No. 13, 1717--1751 (2015; Zbl 1338.34004) Full Text: DOI
Giacomini, Héctor; Grau, Maite Transversal conics and the existence of limit cycles. (English) Zbl 1330.34050 J. Math. Anal. Appl. 428, No. 1, 563-586 (2015). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34C07 PDF BibTeX XML Cite \textit{H. Giacomini} and \textit{M. Grau}, J. Math. Anal. Appl. 428, No. 1, 563--586 (2015; Zbl 1330.34050) Full Text: DOI arXiv
Slijepčević, Siniša Entropy of scalar reaction-diffusion equations. (English) Zbl 1349.37080 Math. Bohem. 139, No. 4, 597-605 (2014). MSC: 37L30 37A35 37B40 35B40 PDF BibTeX XML Cite \textit{S. Slijepčević}, Math. Bohem. 139, No. 4, 597--605 (2014; Zbl 1349.37080) Full Text: Link
Bánhelyi, Balázs; Csendes, Tibor; Krisztin, Tibor; Neumaier, Arnold Global attractivity of the zero solution for Wright’s equation. (English) Zbl 1301.34094 SIAM J. Appl. Dyn. Syst. 13, No. 1, 537-563 (2014). MSC: 34K25 34K13 34K20 65G20 65L03 PDF BibTeX XML Cite \textit{B. Bánhelyi} et al., SIAM J. Appl. Dyn. Syst. 13, No. 1, 537--563 (2014; Zbl 1301.34094) Full Text: DOI Link
Dong, Qinglai; Ma, Wanbiao The asymptotic behavior of a chemostat model with the Crowley-Martin functional response. (Chinese. English summary) Zbl 1299.34157 J. Syst. Sci. Math. Sci. 33, No. 8, 927-929 (2013). MSC: 34C60 92D25 34D20 34D05 PDF BibTeX XML Cite \textit{Q. Dong} and \textit{W. Ma}, J. Syst. Sci. Math. Sci. 33, No. 8, 927--929 (2013; Zbl 1299.34157)
Ajallooeian, Mostafa; van den Kieboom, Jesse; Mukovskiy, Albert; Giese, Martin A.; Ijspeert, Auke J. A general family of morphed nonlinear phase oscillators with arbitrary limit cycle shape. (English) Zbl 1285.34025 Physica D 263, 41-56 (2013). MSC: 34C15 34C05 34C28 PDF BibTeX XML Cite \textit{M. Ajallooeian} et al., Physica D 263, 41--56 (2013; Zbl 1285.34025) Full Text: DOI
Wu, Yuhai; Han, Maoan On the number and distributions of limit cycles of a planar quartic vector field. (English) Zbl 1270.34053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 4, Article ID 1350069, 23 p. (2013). MSC: 34C07 34E10 34D20 34C37 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{M. Han}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 4, Article ID 1350069, 23 p. (2013; Zbl 1270.34053) Full Text: DOI
Hsu, Sze-Bi Ordinary differential equations with applications. 2nd ed. (English) Zbl 1285.34001 Series on Applied Mathematics (Singapore) 21. Hackensack, NJ: World Scientific (ISBN 978-981-4452-90-8/hbk). xiii, 297 p. (2013). Reviewer: Antonio Cañada Villar (Granada) MSC: 34-01 37-01 PDF BibTeX XML Cite \textit{S.-B. Hsu}, Ordinary differential equations with applications. 2nd ed. Hackensack, NJ: World Scientific (2013; Zbl 1285.34001) Full Text: DOI
Ciesielski, Krzysztof The Poincaré-Bendixson theorem: from Poincaré to the XXIst century. (English) Zbl 1417.37001 Cent. Eur. J. Math. 10, No. 6, 2110-2128 (2012). MSC: 37-01 37Cxx 34Cxx PDF BibTeX XML Cite \textit{K. Ciesielski}, Cent. Eur. J. Math. 10, No. 6, 2110--2128 (2012; Zbl 1417.37001) Full Text: DOI Link
Lazzo, Monica; Schmidt, Paul G. Convergence versus periodicity in a single-loop positive-feedback system. II: Periodic solutions. (English) Zbl 1306.34054 Discrete Contin. Dyn. Syst. 2011, Suppl., 941-952 (2011). MSC: 34C12 34D05 34C25 34C23 37C70 93B52 PDF BibTeX XML Cite \textit{M. Lazzo} and \textit{P. G. Schmidt}, Discrete Contin. Dyn. Syst. 2011, 941--952 (2011; Zbl 1306.34054) Full Text: Link
Lazzo, Monica; Schmidt, Paul G. Convergence versus periodicity in a single-loop positive-feedback system. I: Convergence to equilibrium. (English) Zbl 1306.34053 Discrete Contin. Dyn. Syst. 2011, Suppl., 931-940 (2011). MSC: 34C12 34D05 34C25 34C23 37C70 93B52 PDF BibTeX XML Cite \textit{M. Lazzo} and \textit{P. G. Schmidt}, Discrete Contin. Dyn. Syst. 2011, 931--940 (2011; Zbl 1306.34053) Full Text: Link
Hu, Yingjing; Duan, Lixia; Huang, Yi; Wu, Yuhai On the perturbations of a Hamiltonian system. (English) Zbl 1217.34047 Comput. Math. Appl. 61, No. 4, 773-782 (2011). MSC: 34C05 34C23 37C27 PDF BibTeX XML Cite \textit{Y. Hu} et al., Comput. Math. Appl. 61, No. 4, 773--782 (2011; Zbl 1217.34047) Full Text: DOI
Yi, Taishan; Chen, Yuming; Wu, Jianhong Periodic solutions and the global attractor in a system of delay differential equations. (English) Zbl 1229.34110 SIAM J. Math. Anal. 42, No. 1, 24-63 (2010). Reviewer: Gisèle M. Mophou (Pointe-à-Pitre) MSC: 34K13 34K25 PDF BibTeX XML Cite \textit{T. Yi} et al., SIAM J. Math. Anal. 42, No. 1, 24--63 (2010; Zbl 1229.34110) Full Text: DOI
Shestakov, A. A.; Druzhinina, O. V. The asymptotic rigidity of a compact invariant set of a dynamic system stable in the Poisson sense. (English. Russian original) Zbl 1183.37025 Dokl. Phys. 54, No. 11, 512-515 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 2, 191-195 (2009). MSC: 37B25 34B20 PDF BibTeX XML Cite \textit{A. A. Shestakov} and \textit{O. V. Druzhinina}, Dokl. Phys. 54, No. 11, 512--515 (2009; Zbl 1183.37025); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 2, 191--195 (2009) Full Text: DOI
Hsu, Cheng-Hsiung; Yang, Suh-Yuh; Yang, Ting-Hui; Yang, Tzi-Sheng Existence of periodic solutions for a system of delay differential equations. (English) Zbl 1189.34137 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, 6222-6231 (2009). Reviewer: Ivan Ginchev (Varese) MSC: 34K13 34K20 92B20 PDF BibTeX XML Cite \textit{C.-H. Hsu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, 6222--6231 (2009; Zbl 1189.34137) Full Text: DOI
Gao, Yong-Xi; Wu, Yu-Hai; Tian, Li-Xin Bifurcations of limit cycles in a perturbed quintic Hamiltonian system with six double homoclinic loops. (English) Zbl 1159.34032 Acta Math. Appl. Sin., Engl. Ser. 24, No. 2, 313-328 (2008). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C23 34C07 34C37 37G15 37B20 PDF BibTeX XML Cite \textit{Y.-X. Gao} et al., Acta Math. Appl. Sin., Engl. Ser. 24, No. 2, 313--328 (2008; Zbl 1159.34032) Full Text: DOI
Wu, Yuhai; Han, Maoan; Chen, Xianfeng On the bifurcation of double homoclinic loops of a cubic system. (English) Zbl 1144.34029 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2487-2494 (2008). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C37 34C23 34C05 PDF BibTeX XML Cite \textit{Y. Wu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2487--2494 (2008; Zbl 1144.34029) Full Text: DOI
Hsu, Sze-Bi Ordinary differential equations with applications. (English) Zbl 1120.34002 Series on Applied Mathematics (Singapore) 16. Hackensack, NJ: World Scientific (ISBN 981-256-319-9/hbk). ix, 244 p. (2006). Reviewer: Behzad Djafari-Rouhani (El-Paso) MSC: 34-01 PDF BibTeX XML Cite \textit{S.-B. Hsu}, Ordinary differential equations with applications. Hackensack, NJ: World Scientific (2006; Zbl 1120.34002)
Anosov, D. V.; Zhuzhoma, E. V. Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings. Transl. from the Russian. (English) Zbl 1121.37001 Proceedings of the Steklov Institute of Mathematics 249. Moscow: Maik Nauka/Interperiodica. 221 p. (2005). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 37-02 37C85 37E35 30F45 30F50 57R30 53A04 37D10 37D40 37D20 PDF BibTeX XML Cite \textit{D. V. Anosov} and \textit{E. V. Zhuzhoma}, Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica (2005; Zbl 1121.37001)
Monzón, Pablo Almost global attraction in planar systems. (English) Zbl 1129.34306 Syst. Control Lett. 54, No. 8, 753-758 (2005). MSC: 34C05 34D23 93D05 PDF BibTeX XML Cite \textit{P. Monzón}, Syst. Control Lett. 54, No. 8, 753--758 (2005; Zbl 1129.34306) Full Text: DOI Link
Ito, Toshikazu; Scárdua, Bruno On holomorphic foliations transverse to spheres. (English) Zbl 1089.32026 Mosc. Math. J. 5, No. 2, 379-397 (2005). Reviewer: Filippo Bracci (Roma) MSC: 32S65 37D99 57R30 PDF BibTeX XML Cite \textit{T. Ito} and \textit{B. Scárdua}, Mosc. Math. J. 5, No. 2, 379--397 (2005; Zbl 1089.32026)
Melin, Jan Does distribution theory contain means for extending Poincaré-Bendixson theory? (English) Zbl 1073.34007 J. Math. Anal. Appl. 303, No. 1, 81-89 (2005). Reviewer: Jan Andres (Olomouc) MSC: 34A36 34C99 46F05 46N20 PDF BibTeX XML Cite \textit{J. Melin}, J. Math. Anal. Appl. 303, No. 1, 81--89 (2005; Zbl 1073.34007) Full Text: DOI
Escobedo, M.; Mischler, S.; Rodriguez Ricard, M. On self-similarity and stationary problem for fragmentation and coagulation models. (English) Zbl 1130.35025 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 1, 99-125 (2005). MSC: 35F30 35B40 60G18 60K35 82C99 PDF BibTeX XML Cite \textit{M. Escobedo} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 1, 99--125 (2005; Zbl 1130.35025) Full Text: DOI Numdam Numdam EuDML
Balabane, Mikhaël; Jazar, Mustapha; Souplet, Philippe Oscillatory blow-up in nonlinear second order ODE’s: The critical case. (English) Zbl 1048.34074 Discrete Contin. Dyn. Syst. 9, No. 3, 577-584 (2003). MSC: 34C11 PDF BibTeX XML Cite \textit{M. Balabane} et al., Discrete Contin. Dyn. Syst. 9, No. 3, 577--584 (2003; Zbl 1048.34074) Full Text: DOI
Asarin, Eugene; Schneider, Gerardo; Yovine, Sergio Towards computing phase portraits of polygonal differential inclusions. (English) Zbl 1054.93030 Tomlin, Claire J. (ed.) et al., Hybrid systems: computation and control. 5th international workshop, HSCC 2002, Stanford, CA, USA, March 25–27, 2002. Proceedings. Berlin: Springer (ISBN 3-540-43321-X). Lect. Notes Comput. Sci. 2289, 49-61 (2002). Reviewer: Do Van Luu (Hanoi) MSC: 93C30 93B05 68Q45 34C07 34A60 PDF BibTeX XML Cite \textit{E. Asarin} et al., Lect. Notes Comput. Sci. 2289, 49--61 (2002; Zbl 1054.93030) Full Text: Link
Hartman, Philip Ordinary differential equations. 2nd ed., unabridged, corrected republication of the 1982 original. (English) Zbl 1009.34001 Classics in Applied Mathematics. 38. Philadelphia, PA: SIAM. xx, 612 p. (2002). Reviewer: A.Akutowicz (Berlin) MSC: 34-01 34A40 34D09 34D23 34C25 34C45 34C20 34A30 34E05 PDF BibTeX XML Cite \textit{P. Hartman}, Ordinary differential equations. 2nd ed., unabridged, corrected republication of the 1982 original. Philadelphia, PA: SIAM (2002; Zbl 1009.34001) Full Text: DOI
Krisztin, Tibor; Arino, Ovide The two-dimensional attractor of a differential equation with state-dependent delay. (English) Zbl 1016.34075 J. Dyn. Differ. Equations 13, No. 3, 453-522 (2001). Reviewer: Eduardo Liz (Vigo) MSC: 34K25 34K13 37C70 PDF BibTeX XML Cite \textit{T. Krisztin} and \textit{O. Arino}, J. Dyn. Differ. Equations 13, No. 3, 453--522 (2001; Zbl 1016.34075) Full Text: DOI
Gueron, Shay; Liron, Nadav Fast computation of limit cycles in an industrial application. (English) Zbl 0995.70002 J. Eng. Math. 39, No. 1-4, 79-86 (2001). MSC: 70-08 70K05 70K60 PDF BibTeX XML Cite \textit{S. Gueron} and \textit{N. Liron}, J. Eng. Math. 39, No. 1--4, 79--86 (2001; Zbl 0995.70002) Full Text: DOI
Matveev, Alexey S.; Savkin, Andrey V. Qualitative theory of hybrid dynamical systems. (English) Zbl 1052.93004 Control Engineering. Boston, MA: Birkhäuser (ISBN 0-8176-4141-6/hbk). x, 348 p. (2000). Reviewer: A. Akutowicz (Berlin) MSC: 93-02 93C30 93B12 93C65 93D20 37B20 37C25 90B22 PDF BibTeX XML Cite \textit{A. S. Matveev} and \textit{A. V. Savkin}, Qualitative theory of hybrid dynamical systems. Boston, MA: Birkhäuser (2000; Zbl 1052.93004)
Giraldo, Luis; Gascón, Francisco G. New proof and generalizations of the Demidowitsch-Schneider criterion. (English) Zbl 1026.37012 J. Math. Phys. 41, No. 9, 6186-6192 (2000). Reviewer: Yuri V.Rogovchenko (Famagusta) MSC: 37C27 34C25 PDF BibTeX XML Cite \textit{L. Giraldo} and \textit{F. G. Gascón}, J. Math. Phys. 41, No. 9, 6186--6192 (2000; Zbl 1026.37012) Full Text: DOI
Aranson, S. Kh. Qualitative properties of foliations on closed surfaces. (English) Zbl 0982.37032 J. Dyn. Control Syst. 6, No. 1, 127-157 (2000). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 37E35 37C10 57R30 37-02 PDF BibTeX XML Cite \textit{S. Kh. Aranson}, J. Dyn. Control Syst. 6, No. 1, 127--157 (2000; Zbl 0982.37032) Full Text: DOI
Yu, Shu-Xiang Some properties of isolating blocks for planar systems. (English) Zbl 0932.34027 Nagoya Math. J. 154, 103-110 (1999). Reviewer: Shu-Xiang Yu (Beijing) MSC: 34C05 34C08 PDF BibTeX XML Cite \textit{S.-X. Yu}, Nagoya Math. J. 154, 103--110 (1999; Zbl 0932.34027) Full Text: DOI
Nikolaev, Igor; Zhuzhoma, Evgeny Flows on 2-dimensional manifolds. An overview. (English) Zbl 1022.37027 Lecture Notes in Mathematics. 1705. Berlin: Springer. xix, 294 p. (1999). MSC: 37E35 37-02 37C10 PDF BibTeX XML Cite \textit{I. Nikolaev} and \textit{E. Zhuzhoma}, Flows on 2-dimensional manifolds. An overview. Berlin: Springer (1999; Zbl 1022.37027) Full Text: DOI
Hsieh, Po-Fang; Sibuya, Yasutaka Basic theory of ordinary differential equations. (English) Zbl 0924.34001 Universitext. New York, NY: Springer. xi, 468 p. (1999). Reviewer: L.Janos (Kent/Ohio) MSC: 34-01 34B24 34A12 34A30 34A25 34D05 34D20 PDF BibTeX XML Cite \textit{P.-F. Hsieh} and \textit{Y. Sibuya}, Basic theory of ordinary differential equations. New York, NY: Springer (1999; Zbl 0924.34001)
Qin, Siyi; Zhu, Deming Normal nonhyperbolic invariant manifold and invariant tori bifurcation. (Chinese. English summary) Zbl 0921.34045 Appl. Math., Ser. A (Chin. Ed.) 13, No. 4, 371-380 (1998). MSC: 34C30 37D99 37G99 34C29 34C45 34C23 PDF BibTeX XML Cite \textit{S. Qin} and \textit{D. Zhu}, Appl. Math., Ser. A (Chin. Ed.) 13, No. 4, 371--380 (1998; Zbl 0921.34045)
Chi, Chia-Wei; Hsu, Sze-Bi; Wu, Lih-Ing On the asymmetric May-Leonard model of three competing species. (English) Zbl 0919.92036 SIAM J. Appl. Math. 58, No. 1, 211-226 (1998). MSC: 92D40 34D05 34C23 34Cxx PDF BibTeX XML Cite \textit{C.-W. Chi} et al., SIAM J. Appl. Math. 58, No. 1, 211--226 (1998; Zbl 0919.92036) Full Text: DOI
Dzyuba, S. M. Two many-dimensional supplements to the Poincaré-Bendixson theorem. (English. Russian original) Zbl 0853.34033 Differ. Equations 31, No. 4, 538-540 (1995); translation from Differ. Uravn. 31, No. 4, 579-582 (1995). Reviewer: V.Chernyatin (Szczecin) MSC: 34C05 34C25 37-XX PDF BibTeX XML Cite \textit{S. M. Dzyuba}, Differ. Equations 31, No. 4, 538--540 (1995; Zbl 0853.34033); translation from Differ. Uravn. 31, No. 4, 579--582 (1995)
Chen, Lansun; Li, Hua The mathematical behavior of a Volterra predator-prey model with undercrowding effect. (English) Zbl 0826.34028 Ann. Differ. Equations 11, No. 1, 14-19 (1995). Reviewer: J.Hainzl (Kassel) MSC: 34C05 34C23 92D25 PDF BibTeX XML Cite \textit{L. Chen} and \textit{H. Li}, Ann. Differ. Equations 11, No. 1, 14--19 (1995; Zbl 0826.34028)
Cao, Yulin Multiexistence of slowly oscillating periodic solutions for differential delay equations. (English) Zbl 0827.34057 SIAM J. Math. Anal. 26, No. 2, 436-445 (1995). Reviewer: J.Wu (North York) MSC: 34K13 34C10 PDF BibTeX XML Cite \textit{Y. Cao}, SIAM J. Math. Anal. 26, No. 2, 436--445 (1995; Zbl 0827.34057) Full Text: DOI
Guckenheimer, John The role of geometry in computational dynamics. (English) Zbl 0813.58045 Chossat, Pascal (ed.), Dynamics, bifurcation and symmetry. New trends and new tools. Proceedings of the NATO Advanced Research Workshop, E. B. T. G. Conference, Cargèse, France, September 3-9, 1993. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 437, 159-165 (1994). Reviewer: A.Klíč (Praha) MSC: 37G15 37G99 34C05 PDF BibTeX XML Cite \textit{J. Guckenheimer}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 437, 159--165 (1994; Zbl 0813.58045)
Smith, Russell A. Poincaré-Bendixson theory for certain reaction-diffusion boundary-value problems. (English) Zbl 0796.35075 Proc. R. Soc. Edinb., Sect. A 124, No. 1, 33-69 (1994). Reviewer: S.Jimbo (Sapporo) MSC: 35K57 37C70 PDF BibTeX XML Cite \textit{R. A. Smith}, Proc. R. Soc. Edinb., Sect. A, Math. 124, No. 1, 33--69 (1994; Zbl 0796.35075) Full Text: DOI
Ivanov, A. P. Analytical methods in the theory of vibro-impact systems. (English. Russian original) Zbl 0798.70008 J. Appl. Math. Mech. 57, No. 2, 221-236 (1993); translation from Prikl. Mat. Mekh. 57, No. 2, 5-21 (1993). MSC: 70F35 70G10 70K20 PDF BibTeX XML Cite \textit{A. P. Ivanov}, J. Appl. Math. Mech. 57, No. 2, 1 (1993; Zbl 0798.70008); translation from Prikl. Mat. Mekh. 57, No. 2, 5--21 (1993) Full Text: DOI
Lim, C. C.; Pimbley, J. M.; Schmeiser, C.; Schwendeman, D. W. Rotating waves for semiconductor inverter rings. (English) Zbl 0753.34026 SIAM J. Appl. Math. 52, No. 3, 676-690 (1992). MSC: 34C25 34C23 94C05 34A25 70K05 37G99 PDF BibTeX XML Cite \textit{C. C. Lim} et al., SIAM J. Appl. Math. 52, No. 3, 676--690 (1992; Zbl 0753.34026) Full Text: DOI Link
Tamura, Itiro Topology of foliations: an introduction. Transl. from the Japanese by Kiki Hudson. (English) Zbl 0742.57001 Translations of Mathematical Monographs. 97. Providence, RI: American Mathematical Society (AMS). xi, 193 p. (1992). MSC: 57-02 57R30 58A05 PDF BibTeX XML Cite \textit{I. Tamura}, Topology of foliations: an introduction. Transl. from the Japanese by Kiki Hudson. Providence, RI: American Mathematical Society (1992; Zbl 0742.57001)
Bautin, N. N.; Leontovich, E. A. Methods and rules for the qualitative study of dynamical systems on the plane. (Metody i priemy kachestvennogo issledovaniya dinamicheskikh sistem na ploskosti). 2nd ed. (Metody i priemy kachestvennogo issledovaniya dinamicheskikh sistem na ploskosti.) (Russian. English summary) Zbl 0785.34004 Spravochnaya Matematicheskaya Biblioteka. 11. Moskva: Nauka. 488 p. (1990). MSC: 34-02 34Cxx PDF BibTeX XML Cite \textit{N. N. Bautin} and \textit{E. A. Leontovich}, Metody i priemy kachestvennogo issledovaniya dinamicheskikh sistem na ploskosti (Russian). 2nd ed. Moskva: Nauka (1990; Zbl 0785.34004)
Wang, Ke Generalization of the Poincaré-Bendixson’s annular region theorem. (Chinese. English summary) Zbl 0726.34027 Acta Math. Appl. Sin. 13, No. 4, 401-408 (1990). MSC: 34C05 PDF BibTeX XML Cite \textit{K. Wang}, Acta Math. Appl. Sin. 13, No. 4, 401--408 (1990; Zbl 0726.34027)
Voicu, M. Sufficient existence conditions of limit cycles. (English) Zbl 0724.34036 Bul. Inst. Politeh. Iași, Secț. III 36(40), No. 1-2, 23-26 (1990). Reviewer: Yu.V.Rogovchenko (Kiev) MSC: 34C05 37-XX PDF BibTeX XML Cite \textit{M. Voicu}, Bul. Inst. Politeh. Iași, Secț. III 36(40), No. 1--2, 23--26 (1990; Zbl 0724.34036)
Serra, Enrico; Tarallo, Massimo A new proof of the Poincaré-Bendixson theorem. (English) Zbl 0723.34031 Riv. Mat. Pura Appl. 7, 81-86 (1990). Reviewer: Enrico Serra MSC: 37-XX 34C25 PDF BibTeX XML Cite \textit{E. Serra} and \textit{M. Tarallo}, Riv. Mat. Pura Appl. 7, 81--86 (1990; Zbl 0723.34031)
Mallet-Paret, John; Smith, Hal L. The Poincaré-Bendixson theorem for monotone cyclic feedback systems. (English) Zbl 0712.34060 J. Dyn. Differ. Equations 2, No. 4, 367-421 (1990). Reviewer: Chungyou He MSC: 34C25 93C15 PDF BibTeX XML Cite \textit{J. Mallet-Paret} and \textit{H. L. Smith}, J. Dyn. Differ. Equations 2, No. 4, 367--421 (1990; Zbl 0712.34060) Full Text: DOI
Busenberg, Stavros; Martelli, Mario Periodic solutions of Lipschitz dynamical systems. (English) Zbl 0718.34065 Differential equations and applications, Proc. Int. Conf., Columbus/OH (USA) 1988, Vol. I, 104-108 (1989). MSC: 37-XX 34C25 34C45 PDF BibTeX XML
Aicardi, F. On the existence of limit cycles in motion field. (English) Zbl 0683.92024 Biol. Cybern. 62, No. 2, 99-106 (1989). MSC: 92F05 68T99 34C05 37-XX PDF BibTeX XML Cite \textit{F. Aicardi}, Biol. Cybern. 62, No. 2, 99--106 (1989; Zbl 0683.92024) Full Text: DOI
Smith, R. A. Orbitally stable closed trajectories of ordinary differential equations. (English) Zbl 0672.34045 Ordinary and partial differential equations, Vol. II, Proc. 10th Dundee Conf., Dundee/UK 1988, Pitman Res. Notes Math. Ser. 216, 172-177 (1989). MSC: 34D20 34D30 PDF BibTeX XML
Anosov, D. V. On the behaviour in the Euclidean or Lobachevsky plane of trajectories that cover trajectories of flows on closed surfaces. II. (English. Russian original) Zbl 0673.58039 Math. USSR, Izv. 32, No. 3, 449-474 (1989); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 52, No. 3, 451-478 (1988). MSC: 37C10 57M10 PDF BibTeX XML Cite \textit{D. V. Anosov}, Math. USSR, Izv. 32, No. 3, 449--474 (1988; Zbl 0673.58039); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 52, No. 3, 451--478 (1988) Full Text: DOI
Adams, E.; Holzmüller, A.; Straub, D. The periodic solutions of the Oregonator and verification of results. (English) Zbl 0666.34040 Scientific computation with automatic result verification, Proc. Conf. Comput. Arith. Sci. Comput., Karlsruhe/FRG 1987, Comput. Suppl. 6, 111-121 (1988). Reviewer: J.H.Verner MSC: 34C15 34C05 65L05 PDF BibTeX XML
Smith, Russel A. Some modified Michaelis-Menten equations having stable closed trajectories. (English) Zbl 0652.34036 Proc. R. Soc. Edinb., Sect. A 109, No. 3-4, 341-359 (1988). MSC: 34C05 37-XX 92B05 PDF BibTeX XML Cite \textit{R. A. Smith}, Proc. R. Soc. Edinb., Sect. A, Math. 109, No. 3--4, 341--359 (1988; Zbl 0652.34036) Full Text: DOI
Adams, Ernst; Holzmüller, A.; Straub, D. The periodic solutions of the oregonator and verifiction of results. (English) Zbl 0633.58035 Comput. Suppl. (to appear). Reviewer: E.Adams MSC: 37G99 65L10 80A30 PDF BibTeX XML
Anosov, D. V. On the behavior of trajectories on Euclidean or Lobachevskij planes covering the trajectories of flows on closed surfaces. I. (Russian) Zbl 0621.58032 Izv. Akad. Nauk SSSR, Ser. Mat. 51, No. 1, 16-43 (1987). Reviewer: A.Klíč MSC: 37C10 57M10 PDF BibTeX XML Cite \textit{D. V. Anosov}, Izv. Akad. Nauk SSSR, Ser. Mat. 51, No. 1, 16--43 (1987; Zbl 0621.58032)
Aranson, S. Kh.; Grines, V. Z. Topological classification of flows on closed two-dimensional manifolds. (English. Russian original) Zbl 0615.58015 Russ. Math. Surv. 41, No. 1, 183-208 (1986); translation from Usp. Mat. Nauk 41, No. 1, 149-169 (1986). Reviewer: C.Pastur MSC: 37C10 34C05 34D30 PDF BibTeX XML Cite \textit{S. Kh. Aranson} and \textit{V. Z. Grines}, Russ. Math. Surv. 41, No. 1, 183--208 (1986; Zbl 0615.58015); translation from Usp. Mat. Nauk 41, No. 1, 149--169 (1986) Full Text: DOI
Semmler, Willi (ed.) Competition, instability, and nonlinear cycles. Proceedings of an International Conference, New School for Social Research, New York, USA, March 1985. (English) Zbl 0601.90001 Lecture Notes in Economics and Mathematical Systems, 275. Berlin etc.: Springer-Verlag. XII, 340 p. DM 64.00 (1986). Reviewer: D.Isagana MSC: 91B62 91-06 91B66 93Dxx 93A10 62P20 PDF BibTeX XML
Shubeh, A. S. Motions of semicontinuous semidynamical systems in the plane which are stable in Poisson’s sense. (Russian) Zbl 0599.34064 Mat. Issled. 88, 155-168 (1986). Reviewer: K.Barckow MSC: 37-XX PDF BibTeX XML Cite \textit{A. S. Shubeh}, Mat. Issled. 88, 155--168 (1986; Zbl 0599.34064) Full Text: EuDML
Cook, P. A. Nonlinear dynamical systems. (English) Zbl 0588.93001 Prentice-Hall International Series in Systems and Control Engineering. Englewood Cliffs, New Jersey etc.: Prentice/Hall International. VII, 216 p. £24.95 (1986). Reviewer: N.H.Pavel MSC: 93-01 93C10 34C05 34C15 34D20 34D99 37D45 37G15 93C15 93C55 93C99 93D05 93D10 93D15 93D25 PDF BibTeX XML
Keith, W. L.; Rand, R. H. Dynamics of a system exhibiting the global bifurcation of a limit cycle at infinity. (English) Zbl 0647.34033 Int. J. Non-Linear Mech. 20, 325-338 (1985). Reviewer: A.Cañada MSC: 34C25 65J99 34C05 37G99 PDF BibTeX XML Cite \textit{W. L. Keith} and \textit{R. H. Rand}, Int. J. Non-Linear Mech. 20, 325--338 (1985; Zbl 0647.34033) Full Text: DOI
Amel’kin, V. V. Autonomous and linear many-dimensional differential equations. (Автономные и линейные многомерные дифференциальные уравнения.) (Russian) Zbl 0593.34004 Minsk: Izdatel’stvo ”Universitetskoe”. 140 p. (1985). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 34-02 34A30 34C40 34C25 35-02 35F99 PDF BibTeX XML
Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. Modern geometry - methods and applications. Part 2: The geometry and topology of manifolds. Transl. from the Russian by Robert G. Burns. (English) Zbl 0565.57001 Graduate Texts in Mathematics, 104. New York etc.: Springer-Verlag. XV, 430 p. DM 158.00 (1985). MSC: 57-01 55-01 53-01 70G10 70H05 70Sxx 81T08 83F05 22E10 22E15 32Q99 53C05 53C20 53C22 53C30 53C35 53A05 55Q05 55Q15 55Q25 55M20 55M25 55Q40 55R05 55R10 55R25 55R40 57M05 57M10 57M25 57N80 57R20 57R30 57R35 57R70 57R25 37J99 37J35 37K10 37D40 53D25 58J35 58J45 58E30 PDF BibTeX XML
Erle, D. Bifurcation and non-bifurcation of compact orbits by change of stability behavior. (English) Zbl 0561.58035 Abh. Math. Semin. Univ. Hamb. 55, 17-18 (1985). MSC: 37G99 37C75 34C40 PDF BibTeX XML Cite \textit{D. Erle}, Abh. Math. Semin. Univ. Hamb. 55, 17--18 (1985; Zbl 0561.58035) Full Text: DOI
Zhang, Di; Chen, Yan Limit cycles of low concentration trimolecular model. (Chinese. English summary) Zbl 0927.34018 Pure Appl. Math. 1, 123-129 (1985). MSC: 34C05 34C07 92E20 PDF BibTeX XML Cite \textit{D. Zhang} and \textit{Y. Chen}, Pure Appl. Math. 1, 123--129 (1985; Zbl 0927.34018)
Li, Bingxi Periodic orbits of autonomous ordinary differential equations: theory and applications. (Chinese. English summary) Zbl 0653.58001 Xiandai Shuxue Congshu (Series in Modern Mathematics). Shanghai: Shanghai Scientific & Technical Publishers. IV, 266 p. (1984). MSC: 58-01 37G99 37C75 37N99 PDF BibTeX XML
Petrovskij, I. G. Lectures on the theory of ordinary differential equations. Textbook. (Lektsii po teorii obyknovennykh differentsial’nykh uravnenij. Uchebnoe posobie). 7th ed., rev. (Russian) Zbl 0534.34001 Moskva: Izdatel’stvo Moskovskogo Universiteta. 296 p. R. 0.80 (1984). Reviewer: J.Lorenz MSC: 34-01 34A30 35-01 34A12 34A05 34A45 34C05 PDF BibTeX XML
Markus, Lawrence Lie dynamical systems. (French) Zbl 0564.57031 Astérisque 109/110, 3-66 (1983). Reviewer: S.Goodman MSC: 57S20 37-XX 34C99 PDF BibTeX XML
Rosenberg, Harold Labyrinths in the disc and surfaces. (English) Zbl 0522.57028 Ann. Math. (2) 117, 1-33 (1983). MSC: 57R30 57N05 34C40 37C10 57R25 PDF BibTeX XML Cite \textit{H. Rosenberg}, Ann. Math. (2) 117, 1--33 (1983; Zbl 0522.57028) Full Text: DOI
Miller, Richard K.; Michel, Anthony N. Ordinary differential equations. (English) Zbl 0552.34001 New York - London etc.: Academic Press (Harcourt Brace Jovanovich, Publishers). XIII, 351 p. (1982). Reviewer: K.Chandrasekhara Rao MSC: 34-01 34A30 34A34 34A12 34A05 34D20 34C25 PDF BibTeX XML
Jing, Zhu-jun On the existence of periodic solutions of the second-order differential equation. (Chinese) Zbl 0513.34045 Acta Math. Appl. Sin. 5, 15-18 (1982). MSC: 34C25 34C10 PDF BibTeX XML Cite \textit{Z.-j. Jing}, Acta Math. Appl. Sin. 5, 15--18 (1982; Zbl 0513.34045)
Lukes, Dahlard L. Differential equations. Classical to controlled. (English) Zbl 0509.34003 Mathematics in Science and Engineering, Vol. 162. New York etc.: Academic Press, a Subsidiary of Harcourt Brace Jovanovich, Publishers. XIII, 322 p. $ 37.50 (1982). MSC: 34-01 34C05 34H05 34D20 34M99 34A30 34C25 PDF BibTeX XML
Palis, Jacob jun.; de Melo, Welington Geometric theory of dynamical systems. An introduction. Transl. from the Portuguese by A. K. Manning. (English) Zbl 0491.58001 New York - Heidelberg - Berlin: Springer-Verlag. XII, 198 p., 114 ill. DM 74.00; $ 30.90 (1982). MSC: 58-01 37Cxx 34Cxx PDF BibTeX XML
Nazmutdinov, A. T.; Mudarisov, I. Kh. Limit cycles of a class of nonlinear differential equations. (English) Zbl 0502.34020 Sov. Math. 25, No. 6, 44-48 (1981). MSC: 34C05 34C15 34C25 PDF BibTeX XML Cite \textit{A. T. Nazmutdinov} and \textit{I. Kh. Mudarisov}, Sov. Math. 25, No. 6, 44--48 (1981; Zbl 0502.34020)
Chen, Yiyuan Qualitative theory of differential equations of the projective plane. (Chinese) Zbl 0492.58018 Chin. Ann. Math. 2, 102-116 (1981). MSC: 37G15 34C05 34C25 37C75 PDF BibTeX XML Cite \textit{Y. Chen}, Chin. Ann. Math. 2, 102--116 (1981; Zbl 0492.58018)
Camacho, M. Izabel T. Geometric properties of homogeneous vector fields of degree two in \(R^ 3\). (English) Zbl 0484.58020 Trans. Am. Math. Soc. 268, 79-101 (1981). MSC: 37C75 37D15 57S20 34C40 37C10 PDF BibTeX XML Cite \textit{M. I. T. Camacho}, Trans. Am. Math. Soc. 268, 79--101 (1981; Zbl 0484.58020) Full Text: DOI
Cantwell, John; Conlon, Lawrence Poincaré-Bendixson theory for leaves of codimension one. (English) Zbl 0484.57015 Trans. Am. Math. Soc. 265, 181-209 (1981). MSC: 57R30 PDF BibTeX XML Cite \textit{J. Cantwell} and \textit{L. Conlon}, Trans. Am. Math. Soc. 265, 181--209 (1981; Zbl 0484.57015) Full Text: DOI
Varian, Hal R. Dynamical systems with applications to economics. (English) Zbl 0477.90012 Handbook of mathematical economics, Vol. 1, 93-110 (1981). MSC: 91B50 90-02 93D20 58K35 PDF BibTeX XML
Nazmutdinov, A. T.; Mudarisov, I. Kh. Limiting cycles of a certain class of non-linear differential equations. (Russian) Zbl 0477.34024 Izv. Vyssh. Uchebn. Zaved., Mat. 1981, No. 6(229), 39-42 (1981). MSC: 34C05 34C15 34C25 PDF BibTeX XML Cite \textit{A. T. Nazmutdinov} and \textit{I. Kh. Mudarisov}, Izv. Vyssh. Uchebn. Zaved., Mat. 1981, No. 6(229), 39--42 (1981; Zbl 0477.34024)
Schinasi, Garry J. A nonlinear dynamic model of short run fluctuations. (English) Zbl 0467.90013 Rev. Econ. Stud. 48, 649-656 (1981). MSC: 91B62 91B50 PDF BibTeX XML Cite \textit{G. J. Schinasi}, Rev. Econ. Stud. 48, 649--656 (1981; Zbl 0467.90013) Full Text: DOI
Li, Bingxi Periodic orbits of autonomous ordinary differential equations: Theory and applications. (English) Zbl 0466.34021 Nonlinear Anal., Theory Methods Appl. 5, 931-958 (1981). MSC: 34C25 37-XX 34D20 34D05 PDF BibTeX XML Cite \textit{B. Li}, Nonlinear Anal., Theory Methods Appl. 5, 931--958 (1981; Zbl 0466.34021) Full Text: DOI
Yu, Shuxiang On the existence of periodic solutions on two-manifolds. (Chinese) Zbl 0493.58016 Acta Math. Sin. 23, 712-719 (1980). MSC: 37G99 57N05 34C25 37C10 34C40 34C28 PDF BibTeX XML Cite \textit{S. Yu}, Acta Math. Sin. 23, 712--719 (1980; Zbl 0493.58016)